{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tushare as ts\n",
    "import pandas as pd\n",
    "from datetime import datetime\n",
    "from copy import deepcopy\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "import warnings\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score, explained_variance_score\n",
    "from sklearn.linear_model import LinearRegression\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "plt.rcParams['figure.figsize'] = 15, 5\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 特征探索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "获取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>close</th>\n",
       "      <th>low</th>\n",
       "      <th>volume</th>\n",
       "      <th>price_change</th>\n",
       "      <th>p_change</th>\n",
       "      <th>ma5</th>\n",
       "      <th>ma10</th>\n",
       "      <th>ma20</th>\n",
       "      <th>v_ma5</th>\n",
       "      <th>v_ma10</th>\n",
       "      <th>v_ma20</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2017-01-09</th>\n",
       "      <td>12.30</td>\n",
       "      <td>12.30</td>\n",
       "      <td>12.01</td>\n",
       "      <td>11.88</td>\n",
       "      <td>163287.48</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-2.75</td>\n",
       "      <td>12.424</td>\n",
       "      <td>12.523</td>\n",
       "      <td>13.042</td>\n",
       "      <td>162423.50</td>\n",
       "      <td>202557.31</td>\n",
       "      <td>338922.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-01-06</th>\n",
       "      <td>12.61</td>\n",
       "      <td>12.64</td>\n",
       "      <td>12.35</td>\n",
       "      <td>12.27</td>\n",
       "      <td>160914.52</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-2.29</td>\n",
       "      <td>12.488</td>\n",
       "      <td>12.656</td>\n",
       "      <td>13.147</td>\n",
       "      <td>154119.57</td>\n",
       "      <td>229347.70</td>\n",
       "      <td>353776.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-01-05</th>\n",
       "      <td>12.75</td>\n",
       "      <td>12.78</td>\n",
       "      <td>12.64</td>\n",
       "      <td>12.57</td>\n",
       "      <td>144837.61</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>12.478</td>\n",
       "      <td>12.756</td>\n",
       "      <td>13.229</td>\n",
       "      <td>155219.08</td>\n",
       "      <td>265822.89</td>\n",
       "      <td>367446.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-01-04</th>\n",
       "      <td>12.31</td>\n",
       "      <td>12.78</td>\n",
       "      <td>12.77</td>\n",
       "      <td>12.31</td>\n",
       "      <td>224608.69</td>\n",
       "      <td>0.42</td>\n",
       "      <td>3.40</td>\n",
       "      <td>12.410</td>\n",
       "      <td>12.904</td>\n",
       "      <td>13.316</td>\n",
       "      <td>185900.55</td>\n",
       "      <td>306314.15</td>\n",
       "      <td>383326.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-01-03</th>\n",
       "      <td>12.49</td>\n",
       "      <td>12.49</td>\n",
       "      <td>12.35</td>\n",
       "      <td>12.26</td>\n",
       "      <td>118469.22</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.16</td>\n",
       "      <td>12.432</td>\n",
       "      <td>13.052</td>\n",
       "      <td>13.398</td>\n",
       "      <td>202949.65</td>\n",
       "      <td>355270.37</td>\n",
       "      <td>399382.41</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             open   high  close    low     volume  price_change  p_change  \\\n",
       "date                                                                        \n",
       "2017-01-09  12.30  12.30  12.01  11.88  163287.48         -0.34     -2.75   \n",
       "2017-01-06  12.61  12.64  12.35  12.27  160914.52         -0.29     -2.29   \n",
       "2017-01-05  12.75  12.78  12.64  12.57  144837.61         -0.13     -1.02   \n",
       "2017-01-04  12.31  12.78  12.77  12.31  224608.69          0.42      3.40   \n",
       "2017-01-03  12.49  12.49  12.35  12.26  118469.22          0.02      0.16   \n",
       "\n",
       "               ma5    ma10    ma20      v_ma5     v_ma10     v_ma20  \n",
       "date                                                                 \n",
       "2017-01-09  12.424  12.523  13.042  162423.50  202557.31  338922.13  \n",
       "2017-01-06  12.488  12.656  13.147  154119.57  229347.70  353776.00  \n",
       "2017-01-05  12.478  12.756  13.229  155219.08  265822.89  367446.35  \n",
       "2017-01-04  12.410  12.904  13.316  185900.55  306314.15  383326.40  \n",
       "2017-01-03  12.432  13.052  13.398  202949.65  355270.37  399382.41  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 获取股票002639从2016-01-01到2016-12-31的历史数据\n",
    "wdyx = ts.get_hist_data('002639', start='2017-01-01', end='2017-12-31')\n",
    "wdyx.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Snow boy Closing rate - Year 2016')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x201e64bef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "datas = list(deepcopy(wdyx.index))\n",
    "values = list(deepcopy(wdyx['close']))\n",
    "data = pd.DataFrame({'Close': values}, index=datas)\n",
    "# 根据指定的格式把一个时间字符串解析为时间元组。本代码中把2016-10-01作为train/test的切分点\n",
    "# date_thresh = datetime.strptime('2016-10-01', '%Y-%m-%d').date()\n",
    "index = list(np.arange(len(data)))\n",
    "data['index'] = index\n",
    "data = data.sort_values(by=['index'], ascending=(False))\n",
    "data.drop('index',axis=1, inplace=True)\n",
    "datas = list(deepcopy(wdyx.index))\n",
    "ind_ = datas.index('2017-10-09')\n",
    "data_train = data.iloc[: ind_]\n",
    "data_test = data.iloc[ind_ :]\n",
    "plt.figure(figsize=(20,5))\n",
    "plt.plot(data_train.index, data_train['Close'])\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Closing Rate')\n",
    "plt.title('Snow boy Closing rate - Year 2016')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 评估时间序列对象的平稳性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "测试时间序列对象是否平稳"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x201e6a7240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                     -2.090433\n",
      "p-value                   0.248379\n",
      "使用延迟                      0.000000\n",
      "使用的观察次数                  58.000000\n",
      "Cirtical Value (1%)      -3.548494\n",
      "Cirtical Value (5%)      -2.912837\n",
      "Cirtical Value (10%)     -2.594129\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "def evaluate_stationarity(timeseries, t=30):\n",
    "    # 也就是t个数取一个均值，不够t个变为NaN\n",
    "    rolmean = timeseries.rolling(window=t).mean()\n",
    "    # 也就是t个数取一个标准差，不够t个变为NaN\n",
    "    rolstd = timeseries.rolling(window=t).std()\n",
    "    orig = plt.plot(timeseries, color='blue', label='Original')\n",
    "    mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n",
    "    std = plt.plot(rolstd, color='black', label='Rolling Std')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('Rolling Mean & Standard Deviation')\n",
    "    # matplotlib绘图显示同时继续跑下面的代码\n",
    "    plt.show(block=False)\n",
    "    print('Dickey-Fuller test')\n",
    "    # 利用Dickey-Fuller进行平稳性检验\n",
    "    dftest = adfuller(timeseries, autolag='AIC')\n",
    "    dfoutput = pd.Series(dftest[0:4], index=['测试统计', 'p-value', '使用延迟', '使用的观察次数'])\n",
    "    for key, value in dftest[4].items():\n",
    "        dfoutput['Cirtical Value (%s) ' % key] = value\n",
    "    print(dfoutput)\n",
    "evaluate_stationarity(data_train['Close'], 15)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "尽管滚动标准差的变化很小，但是滚动均值似乎相对变化很大。因此，可以推导出时间序列对象是非平稳的。通过观察Dickey-Fuller检验结果发现测试统计值大于临界值，因此没有拒绝无效假设，这意味着数据在本质上是非平稳的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将对数变换应用于时间序列对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x201e729240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                     -2.092691\n",
      "p-value                   0.247464\n",
      "使用延迟                      0.000000\n",
      "使用的观察次数                  58.000000\n",
      "Cirtical Value (1%)      -3.548494\n",
      "Cirtical Value (5%)      -2.912837\n",
      "Cirtical Value (10%)     -2.594129\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "data_log = np.log(data_train['Close'])\n",
    "evaluate_stationarity(data_log, 15)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "可以发现对数转换的确有效果，因为它能够使滚动均值和滚动标准差保持不变。然而，Dickey-Fuller检验证明是不正确的（即变换后的时间序列仍然非平稳)。从测试统计值大于临界值这一情况推断出无效假设是成立的，并且对数变换对象本质上是非平稳的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对数变换分布的滚动均值放大图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x201f387588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_log = np.log(data_train['Close'])\n",
    "rolmean = data_log.rolling(window=15).mean()\n",
    "rolstd = data_log.rolling(window=15).std()\n",
    "orig = plt.plot(data_log, color='blue', label='Original')\n",
    "mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n",
    "std = plt.plot(rolstd, color='black', label='Rolling Std')\n",
    "plt.legend(loc='best')\n",
    "plt.ylim([2.375, 2.55])\n",
    "plt.title('Rolling Mean & Standard Deviation')\n",
    "plt.show(block=False)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "放大的图像显示滚动均值是随时间变化的，而不是恒定不变的。这个推理表明，Dickey-Fuller检验结果证明变换序列式非平稳的。对数据作对数变换未能使对象处于平稳状态。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将四次方根变换应用于时间序列对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEICAYAAABF82P+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzt3XmcHFW99/HPb3p6lswkk5U1QIKELSEZZJKoIItIRB42QZAoGNxQuIj78+h1gQfRq16e63INCiqXiyI7SFwAEUSQRTLhhhAQQoBAJoFkskxmktl6Oc8f59R0zaQm00k6mUn4vl+venX3qapTp7bzO3Wqutucc4iIiPRVNtgFEBGRoUkBQkREEilAiIhIIgUIERFJpAAhIiKJFCBERCSRAsRuwswuNLO/xz47MzsovP+5mX1z8EonW2JmN5jZVSXM7woz+02p8tvKZf+rmf1yO+Z/zsyOL2GRZDsoQAwhZrbMzDrMbKOZvRkqjtrtzdc59xnn3LdLUcY4M5sQAtHTfdLHmlm3mS0r9TKLLNdRZrYgbMclZva+Iub5VzN7NczTZGa3xsY9bGaf3LGl3jnM7Hgzy4f1jNb1NjObXor8nXPfdc4Vta2SAqNzbrJz7uFSlEW2nwLE0HOac64WqAeOBL42yOUpRo2ZTYl9/jDw6mAVBvgpcC8wAngf0LSlic1sDnAB8N6w7RuAB3d0IbeXedtyDq8M6zkceAfwAvComZ1Y0gLKLk8BYohyzr0J3I8PFACYWZ2Z3WhmzWb2mpl9o5gKIt5SCy3IJjP7kpmtNrM3zOxjsWnHmNnvzazVzOab2VXxrqt+/BqYE/v8UeDGPmXYx8zuDGV/1cwui42bYWZPmFlLKM9PzawiNt6Z2WfM7CUzW29mc83MtlCeLPCacy7vnHvVOffcAOWfDtzvnHsZ/LZ3zl0Xlv0d4N3AT0OL+6ch/cdmtjxspwVm9u5Yea8IrfIbzawtdJs0xMYfaWZPh3G3AlWxcaPM7A9hO60P78fHxj9sZt8xs8eAduBAM5toZn8L+T0AjB1gfQnr6ZxzTc65bwG/BL4fW86hZvaAma0zsxfN7NyQ/o5wdZuKTfsBM1sUW/ffxMbdHqbfYGaPmNnkkH4R8BHgf4ft+vuQvszM3hveV5rZj8xsZRh+ZGaVYdwWj2MpDQWIISpUCu8HlsaS/xOoAw4EjsNXxNtyUuwV8tkX+AQw18xGhXFzgU1hmjn0rvj78xvgPDNLmdlh+JbpP2LrUgb8HngmLPNE4PNW6PrJAV/AV2zvDOMv6bOMU/EV+TTgXPyVQX+eAn5gZkcWUXaAJ4GPmtlXzKwhXvk5574OPApc6pyrdc5dGkbNxwfv0cBvgdvNrCqW5+nALcBIYB7+qoYQ+H6HD6qjgduBs2PzlQH/BRwA7A90RPPGXABchN/Or4XlL8Bvv29T3D7r6y7g7WZWY2Y1wAMh3z2A2cA1ZjbZOfck/vh4T2zeD4dpk9wLTAr5PA3cBBAC8E3AD8J2PS1h3q/jr3Dq8ft9BvCN2PgtHcdSCs45DUNkAJYBG4E2wOG7OUaGcSmgCzg8Nv2ngYfD+wuBv8fGOeCg8P4G4Krw/nh8pVMem3Y1/kRMARngkNi4q+L59invhLCccuAv+Er7e/gT+73AsjDdTOD1PvN+DfivfvL9PHB3n3U5Jvb5NuCr/cx7Hr4iOhnftXRkSD8JWLCFbf+RsA6bgLXx/IGHgU8OsO/WA9PC+yuAv8TGHQ50hPfHAisBi41/PNo/CfnWA+v7lOXK2Of98VdMNbG03wK/6Se/44GmhPRDw3beF/gQ8Gif8dcCl8eOievD++Fhmx0QW/f+lj0yLKOu73HZ5xx4b3j/MnBKbNz7YsfU8fRzHO/Mc3Z3H3QFMfSc6Zwbjj8BDqXQXTAWqMC3GCOv4U/orbXWOZeNfW4HaoFx+Mp+eWxc/P2W3IgPUrPxVxRxBwD7hC6kFjNrAf4V2BPAzA4OXSlvmlkr8F027yZ5M6G8ST4H/NQ5dx/wGeC+cCXxLnwASOScu8k59158JfYZ4Erbws3t0LXxz9B10oJvycbL3Le8VWZWDuwDrHChRgt69qmZDTOza813IbYCjwAj41c19N4n++ADyKak/LbCvvjKuwW/v2b22V8fwbfYwQegs0J3z1nA0865zZYZrii/Z2Yvh3VZFkYV1QWGX7e+x/s+sc/9HcdSIgoQQ5Rz7m/4FtbVIWkNvnV/QGyy/YEVJVxsM741Oj6Wtl+R894J/C/glYTKYjnwqnNuZGwY7pw7JYz/Gf5G6STn3Ah88NjSPYYtKQ/rgHPuD8AXgT/jg9d/DDSzcy7jnLsdWAREN957/eRxuN/wf/BdXaOccyOBDUWW+Q1g3z73UPaPvf8ScAgwM2yLY6PFxovZJ79RoVsoKb9ifQBf0W/C76+/9dlftc65iwGcc8/jK+v3s+XupQ8DZ+CvJuvwV5zxdRnop6RXsvnxvnKr1kq2iwLE0PYj4CQzq3fO5fBdK98xs+FmdgC+8ivZ8+5hGXcBV4SW7KH4+xzFzBv1Syc94vgU0Gpm/8fMqkPLcooVHq0cDrQCG8MyL96O1bgd+JaZTQv3PpbguyJqiN0MjjP/HZL/FbZrmZm9H5hM4T7KKvx9n8hwfBBqBsrN7Fv4J6aK8USY9zIzKzezs/B96/G8O4AWMxsNXL6lzEIwbgT+r5lVmNkxQFJ//mbM29fMLsfvt38No/4AHGxmF5hZOgzTw/2lyG+By/AB7PZ+FjEc3y26FhiGvzKM67td+7oZ+IaZjTOzscC3KOHxLgNTgBjCnHPN+K6b6Etun8X3974C/B1/kl5f4sVeim/tvYm/kXoz/iQvpryNLjwJ1Cc9h6+06vGPv67BPzVTFyb5Mr612Qb8Ari1bx5b4Wr8NrkbWAf8BN9l9N/AH82sLmGeVnzl+Dq+i+UHwMXOuejprR8DHzT/VNFP8E+X3YsPPq8BnRTZFeec68Z3y1yIv2/xIXxQjvwIqMZvoyeB+4rI9sP4+zzr8AHlxi1Pzj5mthF/v2s+cARwvHPuz6GMbcAs/P2clfhj4ftAZSyPm/HdoA8559b0s5wb8dtnBfB8WJ+4XwGHh26s3yXMfxU++C0CnsXfWyrZFwplYNa7K1SkNzP7PrCXc25bnowRkV2YriCkl/D8+9TQ/TAD//jg3YNdLhHZ+coHuwAy5AzHdx/sg39s8P8B9wxqiURkUKiLSUREEqmLSUREEg3JLqaxY8e6CRMmDHYxRER2GQsWLFjjnBtXyjyHZICYMGECjY2Ng10MEZFdhpltyzfot0hdTCIikkgBQkREEilAiIhIIgUIERFJpAAhIiKJFCBERCSRAoSIiCQakt+DKJXWVrj/fnjjDdhrL9h778JQUzPw/CIydOXzsGaNP7/feAPefNO/VlXBhAl+mDgRRo4c7JLuuna7ALFqFcybB3ffDQ8+CN3dydONHg3Tp8M73uGHGTN8mogMbf/8J1xzDdx4o28EDqSuDvbbD8aN88Mee/jXPfeEgw6CQw6BffeF+H/8tbTAP/4Bjz8OTzwBmQwccEDvYdIkn69t638f7gJ2mwDR3g6zZvkd6pxvOVx6KZx5Jhx6aKF1Eb0uXeoPgCuv9NODP1COPx5OPBFOOAHGFvvPuSKyQ2UyvuE3dy789a9QUQHnnOMbd1HvwF57+aGrC159FZYtKwzLl0NzM/zP//jXlpbe+dfUwMEH+3pjyRJ4brGjmnZG2QYaDm5lVMUmWhZ38MSaDp6mk2o6qKSL0SNyHDQxx4EH+GHfvXK4bI5MZxi6cuS7c+yzX4qKmjSkY0N5OaRSvYdhw+CUUxK2wOAYkr/m2tDQ4LblpzZmz/bB4MwzYerU4iJ7WxvMn++DxWOPwSOP+DSAadPgPe/x+6y5GVavLgzV1X58fX3hVQFl2+TzsHEjZLO9h3Tat/ZSqcEu4Y6zYYOvJ4ZKl2cu56/CN26Ezs7eQ1ubr1hbWny5W1r8OXbwwf68O/RQ2Gefzc+77m4/b1ubzzc+VFb68yYaamt9GZYuhcWL4bnn/Otjj/mG3QEHwGc+A5/4hL8K6OGcL2Rrqx+iBcYXHHvNbWijc81G2ldtpHPtRnIbfIHKOzdSZ63U5Fopy+d26rYH/GXNm29u06xmtsA511DK4uxWAaIUMhlobISHHvJdVI8/7iursWN9ZRVdnra1wcKFsGJFYd6RI/1xGq/kzHzwOOYYePe7/eseewzKqnm334677TaspsbXSjU1PgLW1voVGDWq91BXB8OH+1qshFat8veH7rsP/vxnWLs2ebrycl/pjB/vh733Ti7KiBF+H40bV6hsxo/3qzAYcjl/Vbtpk39tb/d105IlvsKLhuXLoawMpkzx3ZwzZ/rXww9zlKecj57OFS5zy8v9DNvpzTd918mCBYUW9uuvQ1OTP24HYjj2GNlNOttBZqNvUVfRyZjqDibs3Ynr7Ka7PUN2Uzcuk6GCbtL412hIkyFNhjLypMiRIkdFWY5yspTl/bhKuhk9IsOeI7uZtF8H+4zswDraoaPDb9S2Nh+tWlv9yVuM6mp/vNfW+mM7el9b68+Hujp/QEWvI0b4cdXVfqiq8q+VlT0t/9ZNKZ5ZnOKFl1Kkq1JU1aSoHJaiujZF1qW4/ZYcf7g7A9kMJxyd4eMXZHjXjCw1VTnSZTl/wORyft9OnrxN+1QBYhBkMv4Y6O+cXLMGnnnGB4tly/y05eWFK8iuLnjqKX+F0tnp5zn4YN8ddvrpcNxx/nJ5R3j9dV+2F18sDDMX/pyPtf2EEalN1NomhrlNVOQ6B8yru7ya9tRwWhlBu9WSqawhV1mDG+aDjKuqpiNfQUcmTUc2zaZMBe3ZNPl0FVZViVVXYdVVuMpKXlpaxiuv+kqmbgTUT3Pst18418qc394pyHY7WtblaFmbZ8P6HBvW5dm0IUt5votK10UVnVTSSZXrxLK+0qmkq1clVJvupq66m+FV3dSku6ku66bMZUnls1g+S1kYyitTlJWnNr/sLyuDsjKyroyN7WV0dxv5nCOfh3w+vOYc+UyOfCaPy+bI5/JYPofhKCOP4Xrel5MlTYbqsm4qLEM5GSyfA+coo7hzMUcZubI0ubI0+VQal66AqipS1ZWU11RSXlsJFRXkrJxMvpzufDlduXI2dZSxbr2xbr2vXwEMqKnOUVuZZVhVjmEVOaoqclS4bsrz3aTy3aSyXZRl/Wsq04l1dWJdRf1N+VbLY+TLynHlaawiTaoqjaXT/iSJKuhhwwrvowq8rq53hR5V/MOH935fW1vyxk6xVq2CX/0Krr3Wn5uRiopCfBo/3l8tbQsFiF1Yd7dvrT36qO/Geughf5KOGAHvf78PFkcc4QNSd7cPLN3dPtAceqi/8txSl5lz/rL8kUfgb3/zr6/Ffttx3Dh/j+Xgg/37lSt9a3H5cli5PEeqaxMjaWEU63sNI2hlBK2MrWhjr5o2xlW2MsxtJNW5ifLudiq6N1GZ28Qw2n0L0XwrsdxlKGcnXKJXVEBlJa6yknx5BblUBdmyCjJU0JmvYGOmktauClo7Kmjtrgxt1jRZynuGPGWkyDNmZJY9RucYMzLLqBE5OjbmWbcmz7q1eTa1+VZuz/bGMINUykiVQ3lFivKqFOnKMtLhtTxdRiptpMqNVLqM8nKjdmQ5I8ZWUFbZpy865Lm+xVix0li3DjK5MnJ5I5sLQxYyHVmyHRkyHRlynRlyHRks00UlhaHKuqggQ5mLr2WWFDnS6cKFY00NDKt2yYExbNfNXquq/BC9r6wsVNbRUFnph2j9KioKr/H30fj4cnfnO75BLuevmpcs6d3zFXW5XXvttuWrALEbaW/3XVj33AO//72/r7Elo0bB4Yf74W1v8/2/b7zhK/o33vBdXevX+2nHjYNjj/VXJ9On+8Cwpa4W5/y8HR2F/ubo/ejRvlUzYsSW54/uGfSSy/koF2Xa1eVf48dcVCHEK4b4+3hLPnqNV1Jb0d2yYYPfXlHwjYYNG/wVYGOjH+L7YsQIeNe7fNfgMcf4AFtT4+vBzdZ3kLS1+Rbpa68Vhny+0N0Wve63n39aR3ZPChC7qXzed0O9/nqh8RU1tjo64IUX4Pnn/fDcc76/Pp3e/Lsd9fU+KBxyyFuiIbZDOOeD7TPP+MA4ZcrufZNcdh8KEAL4S9Fhw0pyr1JEdhM7IkDsNt+DeCuprR3sEojIW4HaoCIikkgBQkREEg3YxWRm1wOnAqudc1MSxn8F+Egsv8OAcc65dWa2DGgDckC21P1jIiKy4xRzBXEDcHJ/I51z/+6cq3fO1QNfA/7mnFsXm+SEMF7BQURkFzJggHDOPQKsG2i6YDZw83aVSEREhoSS3YMws2H4K407Y8kO+LOZLTCziwaY/yIzazSzxubm5lIVS0REtlEpb1KfBjzWp3vpaOfc24H3A/9iZsf2N7Nz7jrnXINzrmFcr59pFBGRwVDKAHEefbqXnHMrw+tq4G5gRgmXJyIiO1BJAoSZ1QHHAffE0mrMbHj0HpgFLC7F8kREZMcr5jHXm4HjgbFm1gRcDqQBnHM/D5N9APizc25TbNY9gbvN/yhQOfBb59x9pSu6iIjsSAMGCOfc7CKmuQH/OGw87RVg2rYWTEREBpe+SS0iIokUIEREJJEChIiIJFKAEBGRRAoQIiKSSAFCREQSKUCIiEgiBQgREUmkACEiIokUIEREJJEChIiIJFKAEBGRRAoQIiKSSAFCREQSKUCIiEgiBQgREUmkACEiIokGDBBmdr2ZrTazxP+TNrPjzWyDmS0Mw7di4042sxfNbKmZfbWUBRcRkR2rmCuIG4CTB5jmUedcfRiuBDCzFDAXeD9wODDbzA7fnsKKiMjOM2CAcM49AqzbhrxnAEudc68457qBW4AztiEfEREZBKW6B/FOM3vGzO41s8khbV9geWyappCWyMwuMrNGM2tsbm4uUbFERGRblSJAPA0c4JybBvwn8LuQbgnTuv4ycc5d55xrcM41jBs3rgTFEhGR7bHdAcI51+qc2xje/wlIm9lY/BXDfrFJxwMrt3d5IiKyc2x3gDCzvczMwvsZIc+1wHxgkplNNLMK4Dxg3vYuT0REdo7ygSYws5uB44GxZtYEXA6kAZxzPwc+CFxsZlmgAzjPOeeArJldCtwPpIDrnXPP7ZC1EBGRkjNflw8tDQ0NrrGxcbCLISKyyzCzBc65hlLmqW9Si4hIIgUIERFJpAAhIiKJFCBERCSRAoSIiCRSgBARkUQKECIikkgBQkREEilAiIhIIgUIERFJpAAhIiKJFCBERCSRAoSIiCRSgBARkUQKECIikkgBQkREEilAiIhIogEDhJldb2arzWxxP+M/YmaLwvC4mU2LjVtmZs+a2UIz01/EiYjsQoq5grgBOHkL418FjnPOTQW+DVzXZ/wJzrn6Uv8VnoiI7FjlA03gnHvEzCZsYfzjsY9PAuO3v1giIjLYSn0P4hPAvbHPDvizmS0ws4u2NKOZXWRmjWbW2NzcXOJiiYjI1hrwCqJYZnYCPkAcE0s+2jm30sz2AB4wsxecc48kze+cu47QPdXQ0OBKVS4REdk2JbmCMLOpwC+BM5xza6N059zK8LoauBuYUYrliYjIjrfdAcLM9gfuAi5wzi2JpdeY2fDoPTALSHwSSkREhp4Bu5jM7GbgeGCsmTUBlwNpAOfcz4FvAWOAa8wMIBueWNoTuDuklQO/dc7dtwPWQUREdoBinmKaPcD4TwKfTEh/BZi2+RwiIrIr0DepRUQkkQKEiIgkKtljriKy+8pkMjQ1NdHZ2TnYRXnLq6qqYvz48aTT6R2+LAUIERlQU1MTw4cPZ8KECYQHT2QQOOdYu3YtTU1NTJw4cYcvT11MIjKgzs5OxowZo+AwyMyMMWPG7LQrOQUIESmKgsPQsDP3gwKEiIgkUoAQkV1CU1MTZ5xxBpMmTeJtb3sbn/vc5+ju7t5supUrV/LBD35wwPxOOeUUWlpatqksV1xxBVdfffU2zbsrUYAQkSHPOcdZZ53FmWeeyUsvvcSSJUvYuHEjX//613tNl81m2WeffbjjjjsGzPNPf/oTI0eO3FFF3i0oQIjIkPfQQw9RVVXFxz72MQBSqRQ//OEPuf7667nmmms455xzOO2005g1axbLli1jypQpALS3t3PuuecydepUPvShDzFz5kwaG/2fW06YMIE1a9awbNkyDjvsMD71qU8xefJkZs2aRUdHBwC/+MUvmD59OtOmTePss8+mvb19cDbAINFjriKyVT7/eVi4sLR51tfDj37U//jnnnuOo446qlfaiBEj2H///clmszzxxBMsWrSI0aNHs2zZsp5prrnmGkaNGsWiRYtYvHgx9fX1ifm/9NJL3HzzzfziF7/g3HPP5c477+T888/nrLPO4lOf+hQA3/jGN/jVr37FZz/72e1e312FriBEZMhzziU+vROln3TSSYwePXqz8X//+98577zzAJgyZQpTp05NzH/ixIk9weOoo47qCTKLFy/m3e9+N0cccQQ33XQTzz33XInWaNegKwgR2SpbaunvKJMnT+bOO+/sldba2sry5ctJpVLU1NQkzudccf89VllZ2fM+lUr1dDFdeOGF/O53v2PatGnccMMNPPzww9u2ArsoXUGIyJB34okn0t7ezo033ghALpfjS1/6EhdeeCHDhg3rd75jjjmG2267DYDnn3+eZ599dquW29bWxt57700mk+Gmm27a9hXYRSlAiMiQZ2bcfffd3H777UyaNImDDz6Yqqoqvvvd725xvksuuYTm5mamTp3K97//faZOnUpdXV3Ry/32t7/NzJkzOemkkzj00EO3dzV2OVbsJdjO1NDQ4KInDURk8P3zn//ksMMOG+xibLVcLkcmk6GqqoqXX36ZE088kSVLllBRUTHYRdsuSfvDzBaEP2srGd2DEJHdVnt7OyeccAKZTAbnHD/72c92+eCwMylAiMhua/jw4ag3YtsVdQ/CzK43s9Vmtrif8WZmPzGzpWa2yMzeHhs3x8xeCsOcUhVcRER2rGJvUt8AnLyF8e8HJoXhIuBnAGY2GrgcmAnMAC43s1HbWlgREdl5igoQzrlHgHVbmOQM4EbnPQmMNLO9gfcBDzjn1jnn1gMPsOVAIyIiQ0SpHnPdF1ge+9wU0vpL34yZXWRmjWbW2NzcXKJiiYjItipVgEj6Bwu3hfTNE527zjnX4JxrGDduXImKJSK7i1QqRX19PVOmTOG0004b8Ke64z/a9/DDD3PqqacCMG/ePL73ve+VpEzRF/Xa2tp60j73uc9hZqxZs6YkyxhMpQoQTcB+sc/jgZVbSBcR2SrV1dUsXLiQxYsXM3r0aObOnbtN+Zx++ul89atfLVm5DjroIO655x4A8vk8f/3rX9l338SOkl1OqQLEPOCj4WmmdwAbnHNvAPcDs8xsVLg5PSukiYhss3e+852sWLEC8L+39JWvfIUpU6ZwxBFHcOutt25x3htuuIFLL70U8FcAl112Ge9617s48MADe/5HIp/Pc8kllzB58mROPfVUTjnllH7/Y2L27Nk9y3z44Yc5+uijKS8vfIPgN7/5DTNmzKC+vp5Pf/rT5HI5AC6++GIaGhqYPHkyl19+ec/0EyZM4PLLL+ftb387RxxxBC+88MI2bqXtV9T3IMzsZuB4YKyZNeGfTEoDOOd+DvwJOAVYCrQDHwvj1pnZt4H5IasrnXNbutktIkPdYPzed0wul+PBBx/kE5/4BAB33XUXCxcu5JlnnmHNmjVMnz6dY489tuhFv/HGG/z973/nhRde4PTTT+eDH/wgd911F8uWLePZZ59l9erVHHbYYXz84x9PnH/SpEncc889rF+/nptvvpnzzz+fe++9F/DfeL711lt57LHHSKfTXHLJJdx000189KMf5Tvf+Q6jR48ml8tx4oknsmjRop5fmx07dixPP/0011xzDVdffTW//OUvi16fUioqQDjnZg8w3gH/0s+464Hrt75oIiIFHR0d1NfXs2zZMo466ihOOukkwP+k9+zZs0mlUuy5554cd9xxzJ8/v9+f9u7rzDPPpKysjMMPP5xVq1b15HnOOedQVlbGXnvtxQknnLDFPM466yxuueUW/vGPf3Dttdf2pD/44IMsWLCA6dOn96zDHnvsAcBtt93GddddRzab5Y033uD555/vKfNZZ50F+J8ev+uuu7ZiK5WWvkktIltnMH7vm8I9iA0bNnDqqacyd+5cLrvssqJ/0rs/8Z/6jvLa2jzPO+883v72tzNnzhzKygo998455syZw7/927/1mv7VV1/l6quvZv78+YwaNYoLL7yQzs7OzcqUSqXIZrNbvU6lol9zFZFdSl1dHT/5yU+4+uqryWQyHHvssdx6663kcjmam5t55JFHmDFjxnYt45hjjuHOO+8kn8+zatWqAf8HYv/99+c73/kOl1xySa/0E088kTvuuIPVq1cDsG7dOl577TVaW1upqamhrq6OVatW9XRJDTW6ghCRXc6RRx7JtGnTuOWWWzj//PN54oknmDZtGmbGD37wA/baa69efz26tc4++2wefPBBpkyZwsEHH8zMmTMH/JnwT3/605ulHX744Vx11VXMmjWLfD5POp1m7ty5vOMd7+DII49k8uTJHHjggRx99NHbXNYdST/3LSID2lV/7nt7bNy4kdraWtauXcuMGTN47LHH2GuvvQa7WIB+7ltEZFCdeuqptLS00N3dzTe/+c0hExx2JgUIEZEEb7X/n06im9QiIpJIAUJERBIpQIiISCIFCBERSaQAISK7hKH4c99PPvkkM2fOpL6+nsMOO4wrrriiZ3mPP/54v/PV1taWZPk7mgKEiOwShuLPfc+ZM4frrruup1znnnsuMHCA2FUoQIjILmeo/Nz36tWr2XvvvQF/hXP44YezbNkyfv7zn/PDH/6Q+vp6Hn30UV599VXe+c53Mn36dL75zW+WclPsUPoehIhslc9//vMsLPHPfdfX1/OjXfDnvr/whS9wyCGHcPzxx3PyySczZ84cJkyYwGc+8xlqa2v58pe/DPirlosvvpiPfvSj23zlMxh0BSEiu4To577HjBnDunXrBvy8k1v+AAAYcUlEQVS572Jtz899f+tb36KxsZFZs2bx29/+lpNPPjlxuscee4zZs/2/JlxwwQVbs9qDSlcQIrJVim3pl9pQ/bnvt73tbVx88cV86lOfYty4caxduzZxOjPbrnIOBl1BiMguZSj93Pcf//jHnmDy0ksvkUqlGDlyJMOHD6etra1nuqOPPppbbrkFgJtuumm7yrYzFRUgzOxkM3vRzJaa2Wa3/83sh2a2MAxLzKwlNi4XGzevlIUXkbem+M99f+ADH2Dq1KlMmzaN97znPT0/9709zj77bMaPH8+UKVP49Kc/3e/Pff/617/mkEMOob6+ngsuuICbbrqJVCrFaaedxt13391zk/rHP/4xc+fOZfr06WzYsGG7yrYzDfhz32aWApYAJwFN+P+Xnu2ce76f6T8LHOmc+3j4vNE5t1UP/ernvkWGFv3ct37uuz8zgKXOuVdCIW4BzgASAwQwG7i8NMUTERkc+rnv4gLEvsDy2OcmYGbShGZ2ADAReCiWXGVmjUAW+J5z7nf9zHsRcBH4v+8TERlM+rnv4u5BJN16769f6jzgDudcLpa2f7js+TDwIzN7W9KMzrnrnHMNzrmGcePGFVEsEdmZhuK/T74V7cz9UEyAaAL2i30eD6zsZ9rzgJvjCc65leH1FeBh4MitLqWIDKqqqirWrl2rIDHInHOsXbuWqqqqnbK8YrqY5gOTzGwisAIfBD7cdyIzOwQYBTwRSxsFtDvnusxsLHA08INSFFxEdp7x48fT1NREc3PzYBflLa+qqorx48fvlGUNGCCcc1kzuxS4H0gB1zvnnjOzK4FG51z06Ops4BbXu4lxGHCtmeXxVyvf6+/pJxEZutLpNBMnThzsYshONuBjroNBj7mKiGydHfGYq75JLSIiiRQgREQkkQKEiIgkUoAQEZFEChAiIpJIAUJERBIpQIiISCIFCBERSaQAISIiiRQgREQkkQKEiIgkUoAQEZFEChAiIpJIAUJERBIpQIiISCIFCBERSaQAISIiiYoKEGZ2spm9aGZLzeyrCeMvNLNmM1sYhk/Gxs0xs5fCMKeUhRcRkR1nwP+kNrMUMBc4CWgC5pvZvIT/lr7VOXdpn3lHA5cDDYADFoR515ek9CIissMUcwUxA1jqnHvFOdcN3AKcUWT+7wMecM6tC0HhAeDkbSuqiIjsTMUEiH2B5bHPTSGtr7PNbJGZ3WFm+23lvJjZRWbWaGaNzc3NRRRLRER2pGIChCWkuT6ffw9McM5NBf4C/PdWzOsTnbvOOdfgnGsYN25cEcUSEZEdqZgA0QTsF/s8HlgZn8A5t9Y51xU+/gI4qth5RURkaComQMwHJpnZRDOrAM4D5sUnMLO9Yx9PB/4Z3t8PzDKzUWY2CpgV0kREZIgb8Ckm51zWzC7FV+wp4Hrn3HNmdiXQ6JybB1xmZqcDWWAdcGGYd52ZfRsfZACudM6t2wHrISIiJWbOJd4SGFQNDQ2usbFxsIshIrLLMLMFzrmGUuapb1KLiEgiBQgREUmkACEiIokUIEREJJEChIiIJFKAEBGRRAoQIiKSSAFCREQSKUCIiEgiBQgREUmkACEiIokUIEREJJEChIiIJFKAEBGRRAoQIiKSSAFCREQSKUCIiEiiogKEmZ1sZi+a2VIz+2rC+C+a2fNmtsjMHjSzA2Ljcma2MAzz+s4rIiJD04D/SW1mKWAucBLQBMw3s3nOuedjk/0P0OCcazezi4EfAB8K4zqcc/UlLreIiOxgxVxBzACWOudecc51A7cAZ8QncM791TnXHj4+CYwvbTFFRGRnKyZA7Assj31uCmn9+QRwb+xzlZk1mtmTZnZmfzOZ2UVhusbm5uYiiiUiIjvSgF1MgCWkucQJzc4HGoDjYsn7O+dWmtmBwENm9qxz7uXNMnTuOuA6gIaGhsT8RURk5ynmCqIJ2C/2eTywsu9EZvZe4OvA6c65rijdObcyvL4CPAwcuR3lFRGRnaSYADEfmGRmE82sAjgP6PU0kpkdCVyLDw6rY+mjzKwyvB8LHA3Eb26LiMgQNWAXk3Mua2aXAvcDKeB659xzZnYl0Oicmwf8O1AL3G5mAK87504HDgOuNbM8Phh9r8/TTyIiMkSZc0Ovu7+hocE1NjYOdjFERHYZZrbAOddQyjz1TWoREUmkACEiIokUIEREJJEChIiIJFKAEBGRRAoQIiKSSAFCREQSKUCIiEgiBQgREUmkACEiIokUIEREJJEChIiIJFKAEBGRRAoQIiKSSAFCREQSKUCIiEgiBQgREUk04F+OApjZycCP8X85+kvn3Pf6jK8EbgSOAtYCH3LOLQvjvgZ8AsgBlznn7i9Z6WWrPfXUUzz11FOkUqleQ3l5OcOHD2fEiBHU1dUxYsQIRowYwciRI6moqBjsYovIIBgwQJhZCpgLnAQ0AfPNbF6f/5b+BLDeOXeQmZ0HfB/4kJkdDpwHTAb2Af5iZgc753KlXhEpzr333ssVV1yxVfNUV1czcuRIRo4cyahRoxg+fDi1tbXU1NT0vA4bNox0Ot1rqKiooLq6murqaoYNG9bzPpVKEf3VrXNus/fxz/l8frMBwMwoKyvDzHrep1KpXq8VFRU9ZYuGdDpN+N/0ISG+vn1F5Rys8jrnyGaz/Q6ZTAaAiooKKisre4aKiortKnM+nyeXy5HL5Xred3d309LSwrp161i/fn3P64YNG3qG1tZWNmzYQEdHB93d3WQymZ7XXG7zKsfMqKqq6hmqq6upqqra7DhOp9OUl5dv1qiKjrOkITomo/fZbJauri66u7t7Xru7u3u2YyaTIZvNUltby89+9rNt3nalVswVxAxgqXPuFQAzuwU4A4gHiDOAK8L7O4Cfmj9CzgBucc51Aa+a2dKQ3xOlKb5sra985StccsklPSdgNGQyGTZu3Ehra2vPEJ1469evp6WlhZaWFtavX8/69etZvnw5mzZtYuPGjWzatInOzs7BXrWilJWV9aoUqqqqqKio6KlM4kMUjIr53/YoUEXvk0QBL17xbUv5B6qQ4oEzaehbplwulxgAovUf6tLpdK+r3mHDhlFRUdGzb9PpNKlUarN1z+fzdHZ20tnZSUdHB+vXr6ejo6Onwo4P2Wx2s3NmW6VSKSoqKnrKVl5e3hOI9thjj+3dHCVVTIDYF1ge+9wEzOxvGudc1sw2AGNC+pN95t13m0sr2y1qSZdaPp/v1RqKKtzOzk7a29vp6Oigvb2d9vb2ngo3XqH2fR997ttKi9Kjlnc+n+91pdG31RktMxo2bdpEV1cXXV1dPZVDd3d3zxVP/MRNpVI967elFnHfq57oNWme6AonfrWTNF3f/KJt3PeqKpfLbbYdorSkIUl5eXmvIZVK9VRcW0orL/fVR9Qqjobu7u7E9Yiv55a2p5lt1lJPp9OMHDmS0aNHM2rUqJ7Xuro6qqqqBuUqq9j9kc/nex1f8eNqqCsmQCRt+b5HWn/TFDOvz8DsIuAigP3337+IYslQEnXp6H6FvFWUlflnfHalCn9rFfMUUxOwX+zzeGBlf9OYWTlQB6wrcl4AnHPXOecanHMN48aNK670IiKywxQTIOYDk8xsoplV4G86z+szzTxgTnj/QeAh568t5wHnmVmlmU0EJgFPlaboIiKyIw3YxRTuKVwK3I9/zPV659xzZnYl0Oicmwf8Cvh1uAm9Dh9ECNPdhr+hnQX+RU8wiYjsGqyYJzR2toaGBtfY2DjYxRAR2WWY2QLnXEMp89Q3qUVEJJEChIiIJFKAEBGRRAoQIiKSaEjepDazZuC1bZx9LLBmG9O2d37lOTjLUZ7Kc3fOs1gHOOdK+yWy/r6Sv6sO+Edvtylte+dXnrtP2ZWn8hwqeQ7moC4mERFJpAAhIiKJdscAcd12pG3v/MpzcJajPJXn7pznoBmSN6lFRGTw7Y5XECIiUgIKECIikmxHPyaF/z+IvwL/BJ4DPhfSHgU2Al3AC8CUkNYO5MPw733SHP7/JF6IfXbAhpB3NpaeD3nngExs2mh8ps+0rp8h38/4Lc2zrcP25rkjyvRWGLTdihuyu8g+2ln7M5eQ1gS8mpB+X0LaMvyvX0d1zIaQvji2DjmgDV9ftVKoz1qAs4CHw/hOfN24f1jWYnz92gI8AIwCzsHXk3mgYag85poFvuScOwx4B/AvwETgFeAq/BdDxgBfC2n/DzghrPB7+qR1AK8DD4XxpwOPAOmQbwb4NX6jdAJ3hzLcht943fhABfA74I2Q9ix+o3UCb+J3VIZCEHkqrEcG2BTmX4rfWVl8wCKM6wrzrKFwUr2J34ku5JEDFoTp4wdztF5RoCOkZWJDPM+mUP5oO6+NlSHK80/0DpLg/zd8bZi3OywrE+ZbG6YnpHWH7Z6NLevZMC4b1gvgxdg0i2LlzIZydoQBYHVYzy5gRUhbFsbnYtOtjW2vhWGeeEXVhT/BHP5/zqP1OCnM3xLbvo0JadH+jbbF6lge0Un7eChPPpRjfnjtCkOU5wYK+21deL8prBf4v+SN9ntnyPPWMK4jNk9rSNtAYb89T6Ey2gA0hzyWhmm7EvJcEebpBJ6JTRdNO5/CsZoL658LeUYVU5R+b5g/Ol+ysTxbY9tyYWzbdYf0TWH7Ovy5Go07qc/8eeBvIa05tr7RflgTyvtmGBel54A/hnWPjo0XwzKiBiKhHOspHDvR+00UjutoH9wZ0jqBk8O4jWHIhPwJeeTCtlgQ0tqB0fi/Wv4m/lxxwInAJ/H1XVTfrACGAQcBewPDQxn2BOqB2rBeK4GXQ7k+F/Kej/+bhfXApUA1ft/9BjgXf95fBTwYtudX8UHjrLAfirLDA4Rz7g3n3NPhfRu+gq7EB4v/DmkLgGND2jXOub/hN8qBCWmHAKcBi51zv8dvqFSYDuB2/AH5Oj7A5PE7fTH+JD0gTBdP2x//96gb8ZVbBYWDDXwAKsO3DKrxB8WYkPYa8LbYdCn8wTw8pOVDntF8UZ6GP9iz4X0Of8Ck8QdZ9Hetq/EH5YqQt+EP/EUUKoN8SC8LeS6L5Wn4A31DbLdkwzZfjv9PkGjal/GVkYU8y8K2XBmWWU6hcs3iD950LM9uCq2YKK0rlDMdth9huhVh3caF/IaF/NeH11xY31RYnwkUKo1MbL1T+JM8WqYDGsK4aB+0AoeF+cspBNtofV4J5XuTwvESbZMn8MeShaE1bM8mCsdJPpRxddhm6TDNqrBNAV4K878c1j06PgllacTv94qQX9R4WAHsE1vOWuDGsJyoMi/rk6fDH2+dIf0wCg2GdSFtEoUGQ1TRGYWgE1XCr4btCb7CyuCP+YNi29OFZU+gcHxHwZwwTRewF4UKuyGMr6HQKHh7eF8TtkW0bvmw3aNjOQoO0TnSSGEfpcJ2b8Xvo1Rs270Y1j86VzL447U95JMK5VwV0suAI8O4TSG9G1+BRw0JgL+E7ZHB1wur8P+fEwXiPOCcc79yzq2l0MgYCbQ5517BN5BbCBW9c26Rc24TPvgcgO9J6Q7b5umwnA3AwfggUB4+NzjnWoEzgJvwx9PfgDOdc/90zkXBrSg79R6EmU3Ab/B/AHs6594IaYfjD7542jh8IElK2wN/koDfMGlgMv5AqMLvmD3xf33qwvTrw/xVYb5xsbRK/EGzFn+Sd4c8owNwT/yBvwd+m6XwO7c9jIv+eCkV5h0ey7McH3hceF8ZptsvlDNahgOOCOOGxdLH4Vvp42Jp7RQq96icZcD/xNY92jbvxVdyI2LznxK2TZSnhXyexrduymLreUPIszykRSdhVShn9CfUnbFyRuWvwF8B1YX5o9bxi2H6UWEawx/4mVDOaFkjw3YfF8bXhPTFsTLXheXVhmnT+O7KaB2iyn5YKHct/qSL1tuF6S1WzmjcBnzlvGdsG78rbM89Ytszh9/HdeHz8LC85fgTGXyFGG3T+PEJvmW+PrY9o7JE27OSQkX8PIX9XhemfSWW56jY/FE5ozyjBs24UMaqkL4Af+yX4VvMhj8PuvBX+9HPN5SF9Yz2cXQcRGl1+ArO8FcTZWG6ulDeipBnBXB5bPtHlf7wkGc1vkKMB5i9w/TDQ17RfmrHB56JYVrDn0f/oNAYBH9stVFoNERlWoI/JqK0yrA+m0I5rwjjXgrlrMYfo2Vh3aPu7+i4rQQeC/OcC1wQpl0CYGb/hf/3zTT+2Pqrmd0DfCaUoxsfYDCzm4B3hmm/EMryVeAyYCrwEfyx/AB+f9UB1WY2Bt+4XhTW+Zf442Cr7bQAYWa1+Eukz4cI1ystYbr7tpCWBm4P6efid/77w2s1fuP8PkyXxR907wX+TKFFEaX1LAe/kdMUWkqVFLp60iFP8Ad5N/7g76BwoEcBKmo9EPI5hkJr1UKZRody3hOmKw9pUSuRWDlHUzjowO/08ti6RxXaHbF1j8q5EDgO38KK8lwETAf+HsuzBV/RzabQysviL4sPpNBdZ6E8OXxrLDqG2mLljP7F/Vl8xXh+KOeMkP58yPMPsTK9jN+eUUswaqFVhHJGLdMsMC28Rsteht9n6TDPBylcaUSVQHRFkAWOwu8jKBwjUUWTxe/DaP6TYtszD/xH2J4bYmkZ/Al7P4VKbS2+MXRw+DwsTHsM/orz9xSC6+v4Y7E5tk7RVehjsenaQr7Rfo+umn9EYb9HgeTpPuWMrvDq6X3Md4b1jlr3UWNm71DmW2PrlMbv4z/Htif4wH0fhWM+iw+k8a7S1fhG0bBQjk0UWvbDKHQ1dod1ex++4oPCvogCX3csPQ2cSe+r6YVhe66PpVXgj79ov4Pfnifjt3tkGXAJfnt2U2j8jQppbRSuPlop9BoYfj92hOkA7grjcrGyXBJeV+GvJOrxDaEn8VdrKQAzi+qDhWHec/AB4U3gi/h64zbgK/hemdfwAWcNha6zvfF1WHSluvV2xu95hI14P/DFWNqL+JvXXwwr8mKftKvxB1XftA1h5fcLeT4edkBr2HhP4yuudRRu8KzAV0BR/3Me32p7OSwjqtyXhg0cv6mdDcuM96tmKVxCJw3rYu+jFkauT55RvlGe0eVups+0Ub/vmlja2vD58T55Rusez3NFP3m2hu0Rpa0KecbLHp0EG+jdvRPlmWfzcrbTe3tG/eCuT75tsfmjPF1sOdE9ofjNu2g9o4o+Xva+5YnuUcQfMojyzPTJ8yUK/e1RWtQnHx1fUTmfpvfxEeWb7ZN+Y5hveZ/1XtNn3bMUjs94OVckbM/VCfs9KtM6Nt+eSeXMU+ivd/hzJrqvEF+X6JiNb+fo3kt82s6QHj+Pon0U355r6X0exF/jy8hQuOfTEptmWaxs8f3r8F0o2dj8LfQ+3uN5x8u+Jrw+H5umicLxGV+f6D5RPrbs+yg8DBMdM00h3zdj074Uts8BsXK9hm/4xPdRdAxHXcLN+PPvd/jG1PqwHRcC/42vB/cKnxeGaTbG6te98Vcr1wMvxurehxkqN6nNzPA3U/7pnPuPWFoWSIe0OfiIGE+rp/BkUjytE3+T5R585GzH75DP4Tde1KLP4Fsg5fidE6UtCUVrDmlLKBzcOXwwa6HwxECUfxQUohuo0UneRuGmVXRDd13IM0rLU7jBFfW3RgdFVFFFVxfRzbBofNQX/QKFFltUznQsbUVs3eM3/toodJfET9YqfNdENH/UGuqicCN+Fb4FEi0nuokcDVFfeVTOqOXfTKF1F1/2ilCelym0ih8M2zZa5/gN4uhXLXOx9OjmYlT5tIUyxiuc/xvmW02hsmuPzR91k0XbYmTIvzmWR7Ts9ljey+nddRXd2I9O3KYwz0bg3bHtAT74v46/wq0MaVGFtRrfRRGvhDdSuDKMHhaItumkMH/0q8cd+FZ8fHtGLd0s/hiPHgqIjsE1sfyi4yK6txJ9Br/volZ3tK+jK2hH4Vhuo3AeRcE1yjPq2snF8vzP8D7qdszjW9RRmePBci2FK5zoOI+OFYdvea+LbfsoQEUBIDpeVuHrlKjSj67qo6uENgpXetUh/+gGeyuF+4jLKfT/O/w+ejEseymF7tSo4RRdBX47bKPl+K7XqA66D38+rqdwn2MhvuUfpY8JZf4y/so02r5j8PduGvBXLo+b2d7APOBj+O7kMRR6KrbOTrh6OCasyCIKke7LFA6qrvD6TQoVTXSAdiSkxZ8Qig8tsfHxFk/f+V3CdNsybO/8GjREQ1JrdygOxR7zW3Nu7IjzKCnPUi+nb69ANPS9Wnf4iv31PvNm8Q2l6HPUiHmlT3lz+CtER6GBFjXM5uADUvR02nP4BwXmh/fRY64P4burPoBvAEQ34u8fqP7WT22IiEgifZNaREQSKUCIiEgiBQgREUmkACEiIokUIEREJJEChIiIJFKAEBGRRP8fHPiae69qC7cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x201f425a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                     -2.091946\n",
      "p-value                   0.247766\n",
      "使用延迟                      0.000000\n",
      "使用的观察次数                  58.000000\n",
      "Cirtical Value (1%)      -3.548494\n",
      "Cirtical Value (5%)      -2.912837\n",
      "Cirtical Value (10%)     -2.594129\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "data_sqrt = np.sqrt(np.sqrt(data_train['Close']))\n",
    "evaluate_stationarity(data_sqrt, 15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将移动平均平滑应用到时间序列对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x201e64b550>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x201e6dee80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "moving_avg = data_sqrt.rolling(15).mean()\n",
    "plt.plot(data_sqrt)\n",
    "plt.plot(moving_avg, color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "打印无趋势时间序列对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2017-01-03         NaN\n",
       "2017-01-04         NaN\n",
       "2017-01-05         NaN\n",
       "2017-01-06         NaN\n",
       "2017-01-09         NaN\n",
       "2017-01-10         NaN\n",
       "2017-01-11         NaN\n",
       "2017-01-12         NaN\n",
       "2017-01-13         NaN\n",
       "2017-01-16         NaN\n",
       "2017-01-17         NaN\n",
       "2017-01-18         NaN\n",
       "2017-01-19         NaN\n",
       "2017-01-20         NaN\n",
       "2017-01-23   -0.006329\n",
       "Name: Close, dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_sqrt_moving_avg_diff = data_sqrt - moving_avg\n",
    "data_sqrt_moving_avg_diff.head(15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x202042af28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                     -1.683012\n",
      "p-value                   0.439886\n",
      "使用延迟                      0.000000\n",
      "使用的观察次数                  44.000000\n",
      "Cirtical Value (1%)      -3.588573\n",
      "Cirtical Value (5%)      -2.929886\n",
      "Cirtical Value (10%)     -2.603185\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "data_sqrt_moving_avg_diff.dropna(inplace=True)\n",
    "evaluate_stationarity(data_sqrt_moving_avg_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "指数加权移动平均平滑在时间序列对象中的应用"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20204d4cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                     -2.309256\n",
      "p-value                   0.169000\n",
      "使用延迟                      1.000000\n",
      "使用的观察次数                  57.000000\n",
      "Cirtical Value (1%)      -3.550670\n",
      "Cirtical Value (5%)      -2.913766\n",
      "Cirtical Value (10%)     -2.594624\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "expwighted_avg = data_log.ewm(span=15).mean()\n",
    "data_log_ewma_diff = data_log - expwighted_avg\n",
    "evaluate_stationarity(data_log_ewma_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将一阶差分应用于时间序列对象的对数版本"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2020e43048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                    -7.088878e+00\n",
      "p-value                  4.463806e-10\n",
      "使用延迟                     0.000000e+00\n",
      "使用的观察次数                  5.700000e+01\n",
      "Cirtical Value (1%)     -3.550670e+00\n",
      "Cirtical Value (5%)     -2.913766e+00\n",
      "Cirtical Value (10%)    -2.594624e+00\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# period：表示移动的幅度，可以是正数，也可以是负数，默认值是1,1就表示移动一次，注意这里移动的都是数据，而索引是不移动的，移动之后没有对应值的，就赋值为NaN。\n",
    "data_log_diff = data_log - data_log.shift()\n",
    "data_log_diff.dropna(inplace=True)\n",
    "evaluate_stationarity(data_log_diff)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "差分运算相比于移动平均平滑、指数加权移动平滑有了很大的改善。有助于提高时间序列的平稳性。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分解对数变换后的时间序列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2020f262e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 返回包含三个部分trend(趋势部分)，seasonal(季节性部分)和residual(残留部分)\n",
    "decomposition = seasonal_decompose(list(data_log), freq=15)\n",
    "trend = decomposition.trend\n",
    "seasonal = decomposition.seasonal\n",
    "residual = decomposition.resid\n",
    "plt.subplot(411)\n",
    "plt.plot(data_log, label='Original')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(412)\n",
    "plt.plot(trend, label='Trend')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(413)\n",
    "plt.plot(seasonal, label='Seasonality')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(414)\n",
    "plt.plot(residual, label='Residuals')\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为平稳性评估残差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20210ea470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dickey-Fuller test\n",
      "测试统计                     -3.288841\n",
      "p-value                   0.015385\n",
      "使用延迟                     10.000000\n",
      "使用的观察次数                  34.000000\n",
      "Cirtical Value (1%)      -3.639224\n",
      "Cirtical Value (5%)      -2.951230\n",
      "Cirtical Value (10%)     -2.614447\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "data_log_decompose = pd.Series(residual)\n",
    "data_log_decompose.dropna(inplace=True)\n",
    "evaluate_stationarity(data_log_decompose)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "滚动均值和滚动标准差的探索分析表明，这两个度量随着时间的推移几乎是平稳的。残差图是平稳的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 测试以确定时间序列是否具有自相关性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算对数变换差分后的时间序列的Durbin Watson统计"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.7666501487042174"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(data_log_diff)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Durbin Watson统计更多的是确定数据内自相关存在性的统计方法。它是通过计算残差之间的自相关来实现的，而这些残差是从统计回归分析中得到的。它返回一个介于0和4之间的数字，其中0表示强正自相关，4表示强负自相关，2表示无自相关。此处结果接近2，这表明在对数差分后的时间序列中不存在自相关。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2020f1d438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax1 = plt.subplot(211)\n",
    "# 绘制自相关函数ACF\n",
    "fig = sm.graphics.tsa.plot_acf(data_log_diff.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = plt.subplot(212)\n",
    "# 绘制偏自相关函数PACF\n",
    "fig = sm.graphics.tsa.plot_pacf(data_log_diff, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "规则1：p=1.当ACF显示出指数衰减时，并且PACF在滞后1时有一个峰值，没有进一步的相关性。\n",
    "规则2：p=2.当ACF显示一组指数衰减或正弦波形模式时，并且PACF在滞后1和2时有峰值，没有进一步的相关性。\n",
    "规则3：q=1.当ACF在滞后1时有一个峰值，没有进一步的相关性，并且PACF显示指数衰减。\n",
    "规则4：q=2.当ACF滞后1和2时出现峰值，没有进一步相关性，并且PACF显示出一组指数衰减或正弦波模式。\n",
    "规则5：p=1，q=1.当ACF和PACF在滞后1时都显示指数衰减，没有进一步相关性。\n",
    "本例满足规则6，故而没有自相关性。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 自回归综合移动平均"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将AR模型应用到差分对数变换时间序列上"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'RSS: 0.0177')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2020504c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# p=2, d=1, q=0\n",
    "model = ARIMA(data_log, order=(2, 1, 0), dates=pd.to_datetime(data_log.index))\n",
    "results_AR_210 = model.fit(disp=-1)\n",
    "plt.plot(data_log_diff)\n",
    "plt.plot(results_AR_210.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f' % sum((results_AR_210.fittedvalues-data_log_diff)**2))"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "RSS接近0，这意味着该模型在捕捉输入序列中的方差方面是相当准确的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将MA模型应用到差分对数变换时间序列上"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'RSS: 0.0177')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20210b2fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# d=1, q=1\n",
    "model = ARIMA(data_log, order=(0, 1, 1), dates=pd.to_datetime(data_log.index))\n",
    "results_MA_011 = model.fit(disp=-1)\n",
    "plt.plot(data_log_diff)\n",
    "plt.plot(results_MA_011.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f' % sum((results_MA_011.fittedvalues-data_log_diff)**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'RSS: 0.0177')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20211ae518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# p=1, d=1, q=1\n",
    "model = ARIMA(data_log, order=(1, 1, 1), dates=pd.to_datetime(data_log.index))\n",
    "results_ARIMA_111 = model.fit(disp=-1)\n",
    "plt.plot(data_log_diff)\n",
    "plt.plot(results_ARIMA_111.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f' % sum((results_ARIMA_111.fittedvalues-data_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 缩减预测规模"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "打印预测序列的前几个观察值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2017-01-04   -0.001005\n",
      "2017-01-05    0.001892\n",
      "2017-01-06   -0.001588\n",
      "2017-01-09   -0.002900\n",
      "2017-01-10   -0.003379\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predictions_ARIMA_diff = pd.Series(results_ARIMA_111.fittedvalues, copy=True)\n",
    "print(predictions_ARIMA_diff.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2017-01-04   -0.001005\n",
      "2017-01-05    0.000887\n",
      "2017-01-06   -0.000701\n",
      "2017-01-09   -0.003601\n",
      "2017-01-10   -0.006981\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# 返回给定axis上的累计和\n",
    "predictions_ARIMA_diff_cumsum = predictions_ARIMA_diff.cumsum()\n",
    "print(predictions_ARIMA_diff_cumsum.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "打印预测序列的AIC分数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-296.8658011680012\n"
     ]
    }
   ],
   "source": [
    "print(results_ARIMA_111.aic)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "AIC得分越低，时间序列模型质量越好。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "打印消除差分的预测时间序列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2017-01-03    2.513656\n",
       "2017-01-04    2.512651\n",
       "2017-01-05    2.514543\n",
       "2017-01-06    2.512955\n",
       "2017-01-09    2.510055\n",
       "dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions_ARIMA_log = pd.Series(data_log.ix[0], index=data_log.index)\n",
    "predictions_ARIMA_log = predictions_ARIMA_log.add(predictions_ARIMA_diff_cumsum, fill_value=0)\n",
    "predictions_ARIMA_log.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'MSE: 0.2393 | MAE: 0.4029 | R2: -0.3747')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2020cddf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions_ARIMA = np.exp(predictions_ARIMA_log)\n",
    "plt.plot(data_train['Close'])\n",
    "plt.plot(predictions_ARIMA)\n",
    "plt.title('MSE: %.4f | MAE: %.4f | R2: %.4f' % ( mean_squared_error(data_train['Close'], predictions_ARIMA), \n",
    "                                                 mean_absolute_error(data_train['Close'], predictions_ARIMA), \n",
    "                                                 r2_score(data_train['Close'], predictions_ARIMA)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.46936244747724887\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'Concrete strength')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x20212405c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "regr = LinearRegression()\n",
    "x_train = [[x] for x in range(len(data_train))]\n",
    "y_train = [[y] for y in list(data_train['Close'])]\n",
    "x_test = [[z] for z in range(len(data_train), len(data_train)+len(data_test))]\n",
    "regr.fit(x_train, y_train)\n",
    "y_pred = regr.predict(x_test)\n",
    "print(explained_variance_score(data_test['Close'], y_pred))\n",
    "plt.scatter(range(len(data_test)), data_test['Close'], color='black')\n",
    "plt.plot(range(len(data_test)), y_pred, color='blue', linewidth=3)\n",
    "plt.ylabel('Concrete strength')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
